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Finding the Fourth Proportional to 50,564.52, 75,857.58 and 19,399.50

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Solution

The fourth proportional to 50,564.52, 75,857.58 and 19,399.50 is: 29,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.52 : 75,857.58 = 19,399.50 : x
  2. Step 2: Convert to fraction form
    50,564.52/75,857.58 = 19,399.50/x
  3. Step 3: Cross multiply
    50,564.52x = 75,857.58 × 19,399.50
  4. Step 4: Simplify right side
    50,564.52x = 1,471,599,123.21
  5. Step 5: Solve for x
    x = 1,471,599,123.21/50,564.52
  6. Step 6: Final answer
    x = 29,103.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.